共查询到20条相似文献,搜索用时 15 毫秒
1.
Yaobin Ou 《Journal of Differential Equations》2009,247(12):3295-2065
We study the asymptotic behaviors of the regular solutions to the compressible Navier-Stokes equations for “well-prepared” initial data for all time as the Mach number tends to zero, by deriving a differential inequality with certain decay property. The estimates obtained in this paper are uniform both in time and Mach number. 相似文献
2.
Global Strong Solution to the 3D Incompressible Navier-Stokes Equations with General Initial Data 下载免费PDF全文
Tingting Zheng & Peixin Zhang 《数学研究》2015,48(3):250-255
We study the existence of global strong solution to an initial-boundary value
(or initial value) problem for the 3D nonhomogeneous incompressible Navier-Stokes
equations. In this study, the initial density is suitably small (or the viscosity coefficient
suitably large) and the initial vacuum is allowed. Results show that the unique solution
of the Navier-Stokes equations can be found. 相似文献
3.
The zero dissipation limit for the one-dimensional Navier-Stokes equations of compressible,isentropic gases in the case that the corresponding Euler equations have rarefaction wave solutions is investi... 相似文献
4.
In this paper,the global well-posedness of the three-dimensional incompressible Navier-Stokes equations with a linear damping for a class of large initial data slowly varying in two directions are proved by means of a simpler approach. 相似文献
5.
We approximate a two–phase model by the compressible Navier-Stokes equations with a singular pressure term. Up to a subsequence, these solutions are shown to converge to a global weak solution of the compressible system with the congestion constraint studied for instance by Lions and Masmoudi. The paper is an extension of the previous result obtained in one-dimensional setting by Bresch et al. to the multi-dimensional case with heterogeneous barrier for the density. 相似文献
6.
7.
Eduard Feireisl 《偏微分方程通讯》2013,38(10):1778-1796
We discuss several aspects of the problem of propagation and dispersion of acoustic waves arising in the low Mach number asymptotic limits of compressible fluid systems. A general approach is proposed based on analysis of the spectral measures associated to the corresponding wave propagator. In particular, the local decay estimates based on a result of Tosio Kato and on RAGE theorem are obtained as limit cases. The approach is applied to problems on domains their shape may vary with the Mach number. 相似文献
8.
This paper is concerned with the zero Mach number limit of the
three-dimension- al compressible viscous magnetohydrodynamic
equations. More precisely, based on the local existence of the
three-dimensional compressible viscous magnetohydrodynamic
equations, first the convergence-stability principle is established.
Then it is shown that, when the Mach number is sufficiently small,
the periodic initial value problems of the equations have a unique
smooth solution in the time interval, where the incompressible
viscous magnetohydrodynamic equations have a smooth solution. When
the latter has a global smooth solution, the maximal existence time
for the former tends to infinity as the Mach number goes to zero.
Moreover, the authors prove the convergence of smooth solutions of
the equations towards those of the incompressible viscous
magnetohydrodynamic equations with a sharp convergence rate. 相似文献
9.
ABSTRACT We study the singular limit of viscous polytropic fluids without thermal conductivity as the Mach number tends to zero. A uniform existence result for the Cauchy problem in R 3 is proved under the assumption that the initial data belongs uniformly to H k (R 3) with k = 2, 3 and is well-prepared in H 1 (R 3). 相似文献
10.
This paper deals with the global strong solution to the three-dimensional(3D) full compressible Navier-Stokes systems with vacuum.The authors provide a sufficient condition which requires that the Sobolev norm of the temperature and some norm of the divergence of the velocity are bounded,for the global regularity of strong solution to the 3D compressible Navier-Stokes equations.This result indicates that the divergence of velocity fields plays a dominant role in the blowup mechanism for the full compressible Navier-Stokes equations in three dimensions. 相似文献
11.
In this paper, the authors consider the zero-viscosity limit of the three dimensional incompressible steady Navier-Stokes equations in a half space R+×R2. The result shows that the solution of three dimensional incompressible steady Navier-Stokes equations converges to the solution of three dimensional incompressible steady Euler equations in Sobolev space as the viscosity coefficient going to zero. The method is based on a new weighted energy estimates and Nash-Moser itera... 相似文献
12.
We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data under the assumption that the viscosity coefficient μ is large enough. Here we do not require that the initial data is small. 相似文献
13.
研究了不可压缩的Navier-Stokes方程弱解的粘性的连续依赖性.首先利用Moser迭代得到当T> 0时,在Ω×(0,T)上速度■的L∞范数估计.其次讨论了对粘度μ的连续依赖性,并给出了精确的估计. 相似文献
14.
The authors are concerned with the sharp interface limit for an incompressible Navier-Stokes and Allen-Cahn coupled system in this paper. When the thickness of the diffuse interfacial zone, which is parameterized by ε, goes to zero, they prove that a solution of the incompressible Navier-Stokes and Allen-Cahn coupled system converges to a solution of a sharp interface model in the L∞(L2) ∩ L2(H1) sense on a uniform time interval independent of the smal... 相似文献
15.
研究了可压缩Navier-Stokes方程组
球对称弱解的大时间行为. 假设压强
$p(\varrho)=\varrho^\gamma$, 绝热指数$\gamma>1$, 外力是球对称的. 证明了假如外力满足一定的正则性及某种结构性条件, 则当时间
趋于无穷大时, 密度将趋于其对应的静止问题的唯一解. 相似文献
16.
我们证明了半空间中一维可压Navier—Stokes方程初边值问题局部解的存在性,证明主要是利用了能量方法. 相似文献
17.
Given initial data u0 ∈ Lp(R3) for some p in[3, 18/5[, the auhtors ?rst prove that 3D incompressible Navier-Stokes system has a unique solution u = uL+v with uL def = et?u0 and v ∈ e L∞([0, T]; ˙ H5/2 ? 6/p ) ∩ L1(]0, T[; ˙H9/2 ? 6/p ) for some positive time T. Then they derive an explicit lower bound for the radius of space analyticity of v, which in particular extends the corresponding results in [Chemin, J.-Y., Gallagher, I. and Zhang, P., On the radius of analyticity of solutions to semi-linear parabolic system, Math. Res. Lett., 27, 2020, 1631– 1643, Herbst, I. and Skibsted, E., Analyticity estimates for the Navier-Stokes equations, Adv. in Math., 228, 2011, 1990–2033] with initial data in ˙Hs(R3) for s∈[1/2,3/2[. 相似文献
18.
Fucai Li 《Journal of Mathematical Analysis and Applications》2009,352(2):620-628
The quasineutral limit (zero-Debye-length limit) of viscous quantum hydrodynamic model for semiconductors is studied in this paper. By introducing new modulated energy functional and using refined energy analysis, it is shown that, for well-prepared initial data, the smooth solution of viscous quantum hydrodynamic model converges to the strong solution of incompressible Navier-Stokes equations as the Debye length goes to zero. 相似文献
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20.
主要研究了一类带有非牛顿位势的可压缩Navier-Stokes方程:其中粘性系数μ依赖于密度ρ,Φ是非牛顿位势.证明了上述问题的强解的存在性.在相容性条件下,得到了强解的唯一性. 相似文献